Long-Time Behavior and Density Function of a Stochastic Chemostat Model with Degenerate Diffusion

作     者：GAO Miaomiao JIANG Daqing WEN Xiangdan GAO Miaomiao;JIANG Daqing;WEN Xiangdan

作者机构：College of ScienceChina University of Petroleum(East China)Qingdao 266580China Key Laboratory of Unconventional Oil and Gas DevelopmentChina University of Petroleum(East China)Ministry of EducationQingdao 266580China Nonlinear Analysis and Applied Mathematics(NAAM)-Research GroupDepartment of MathematicsKing Abdulaziz UniversityJeddah 21589Saudi Arabia Department of MathematicsYanbian UniversityYanji 133002China 

出 版 物：《Journal of Systems Science & Complexity》 (系统科学与复杂性学报（英文版）)

年 卷 期：2022年第35卷第3期

页      面：931-952页

核心收录：

学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 0714[理学-统计学（可授理学、经济学学位）] 070103[理学-概率论与数理统计] 0701[理学-数学] 

基　　金：supported by the National Natural Science Foundation of China under Grant No.11871473 the Natural Science Foundation of Shandong Province under Grant No.ZR2019MA010 the Science and Technology Research Project of Jilin Provincial Department of Education of China under Grant No.JJKH20180462KJ 

主　　题：Density function diffusion process Markov semigroups stochastic chemostat model washout 

摘      要：This paper considers a stochastic chemostat model with degenerate ***,the Markov semigroup theory is used to establish sufficient criteria for the existence of a unique stable stationary *** authors show that the densities of the distributions of the solutions can converge in L^(1)to an invariant ***,conditions are obtained to guarantee the washout of the ***,through solving the corresponding Fokker-Planck equation,the authors give the exact expression of density function around the positive equilibrium of deterministic ***,numerical simulations are performed to illustrate the theoretical results.